Transparent boundary conditions for a class of boundary value problems in some ramified domains with a fractal boundary

DOI10.1016/j.crma.2006.02.024zbMath1096.65113OpenAlexW2035972770MaRDI QIDQ2499657

Christophe Sabot, Nicoletta Tchou, Yves Achdou

Publication date: 14 August 2006

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2006.02.024

zbMATH Keywords

boundary value problemserror boundstransparent boundary conditionsLaplace equationvariational methodHelmholtz equationsself-similar ramified domains

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (2)

Boundary value problems with nonhomogeneous Neumann conditions on a fractal boundary ⋮ Wave propagation in fractal trees. Mathematical and numerical issues

Cites Work

• Transparent boundary conditions for the Helmholtz equation in some ramified domains with a fractal boundary
• Exact non-reflecting boundary conditions
• A transmission problem with a fractal interface.
• Diffusion and propagation problems in some ramified domains with a fractal boundary
• Spectral properties of self-similar lattices and iteration of rational maps
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